Algebra, with Arithmetic and Mensuration, from the Sanscrit of Brahmegupta and Bhascara

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John Murray, 1817 - Algebra - 378 pages

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Page 192 - One bee, which remained, hovered and flew about in the air, allured at the same moment by the pleasing fragrance of a jasmin and pandanus. Tell me, charming woman, the number of bees.
Page 6 - Beautiful and dear Lilavati, whose eyes, are like a fawn's ! tell me what is the number resulting from one hundred and thirty-five taken into twelve? if thou be skilled in multiplication by whole or by parts, whether by sub-division of form or separation of digits. Tell me auspicious woman, what is the quotient of the product divided by the same multiplier.
Page 278 - With fractions, the product of the numerators divided by the product of the denominators gives the final answer or product.
Page li - ADITYADASA, an astrologer of Ujjayani, who appears to have flourished at the close of the fifth, or beginning of the sixth century of the Christian era. He was preceded, as it seems, by another of the same name, who lived, according to the chronologists of Ujjayani, at the close of the second century. He may have been followed by a third, who is said to have flourished at the court of RAJA Bn6jA DŁVA of Dhara, and to have had SATANANDA, the author of the Bhaswat'i, for his scholar.
Page xxii - ... of a few. The adoration of the sun, of the planets, and of the stars, in common with the worship of the elements...
Page 191 - Eight rubies, ten emeralds, and a hundred pearls, which are in thy ear-ring, my beloved, were purchased by me, for thee, at an equal amount; and the sum of the rates of the three sorts of gems was three less than half a hundred; tell me the rate...
Page xxii - The Hindus had undoubtedly made some progress at an early period in the astronomy cultivated by them for the regulation of time. Their calendar, both civil and religious, was governed chiefly, not exclusively, by the moon and sun ; and the motions of these luminaries were carefully observed by them : and with such success, that their determination of the moon's synodical revolution, which was what they were principally concerned with, is a much more correct one than the Greeks ever achieved. They...
Page 70 - Therefore the area of the ring is equal to the product of the sum and difference of the two diameters multiplied by .7854. Ex. 1. If AB (Fig. 13.) be 221. and A'B' 106, what is the area of the ring ? Ans.
Page lxxv - Reduction are of three kinds, namely, roots, squares, and simple numbers relative to neither root nor square. A root is any quantity which is to be multiplied by itself, consisting of units, or numbers ascending, or fractions descending. A square is the whole amount of the root multiplied by itself. A simple number is any number which may be pronounced without reference to root or square. A number belonging to one of these three classes may be equal to a number of another class; you may say, for...
Page 204 - ... above the surface of the water. Forced by the wind, it gradually advanced, and was submerged at the distance of two cubits. Compute quickly, mathematician, the depth of ^vater. Statement : Biff, of hypotenuse and upright ± cubit. Side 2 cubits. Proceeding as directed, the upright and hypotenuse are found, viz. upright Vs. It is the depth of water.

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